Demonstration for Curvature and the Osculating Circle

This applet shows a curve in the \(xy\)-plane, the vector from the origin to a point on the curve, and the osculating circle. Also displayed is the curvature. The student can use a slider to move the point along the curve and view the changing osculating circle and curvature. There is also a button that activates the animated motion of the point and the corresponding osculating circle and curvature.